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A multi-region nonlinear age-size structured fish population model

Analysis of PDEs 2010-07-01 v1

Abstract

The goal of this paper is to present a generic multi-region nonlinear age-size structured fish population model, and to assess its mathematical well-posedness. An initial-boundary-value problem is formulated. Existence and uniqueness of a positive weak solution is proved. Eventually, a comparison result is derived: the population of all regions decreases as the mortality rate increases in at least one region.

Keywords

Cite

@article{arxiv.1006.5836,
  title  = {A multi-region nonlinear age-size structured fish population model},
  author = {Blaise Faugeras and Olivier Maury},
  journal= {arXiv preprint arXiv:1006.5836},
  year   = {2010}
}
R2 v1 2026-06-21T15:42:53.257Z